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2131072093 is a prime number
BaseRepresentation
bin111111100000101…
…1001010001011101
312111111222200100001
41333001121101131
513331023301333
6551244134301
7103544546113
oct17701312135
95444880301
102131072093
119a3a31007
124b5837391
1327c679b07
14163057ab3
15c7153b7d
hex7f05945d

2131072093 has 2 divisors, whose sum is σ = 2131072094. Its totient is φ = 2131072092.

The previous prime is 2131072067. The next prime is 2131072103. The reversal of 2131072093 is 3902701312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1666109124 + 464962969 = 40818^2 + 21563^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131072093 - 29 = 2131071581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131072003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065536046 + 1065536047.

It is an arithmetic number, because the mean of its divisors is an integer number (1065536047).

Almost surely, 22131072093 is an apocalyptic number.

It is an amenable number.

2131072093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131072093 is an equidigital number, since it uses as much as digits as its factorization.

2131072093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 2131072093 is about 46163.5364004969. The cubic root of 2131072093 is about 1286.8641846077.

The spelling of 2131072093 in words is "two billion, one hundred thirty-one million, seventy-two thousand, ninety-three".